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Finding the Fourth Proportional to 294.41, 405.96 and 238.29

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Solution

The fourth proportional to 294.41, 405.96 and 238.29 is: 328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.41 : 405.96 = 238.29 : x
  2. Step 2: Convert to fraction form
    294.41/405.96 = 238.29/x
  3. Step 3: Cross multiply
    294.41x = 405.96 × 238.29
  4. Step 4: Simplify right side
    294.41x = 96,737.42
  5. Step 5: Solve for x
    x = 96,737.42/294.41
  6. Step 6: Final answer
    x = 328.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.